Showing posts with label Shaikh. Show all posts
Showing posts with label Shaikh. Show all posts

Thursday, May 9, 2019

The New School for Social Research at 100: A view from the Econ. Dept.

From a late 1990s catalogue; Lance Taylor (center), and also in no particular order
and from what I can remember (Ellen Houston, Adalmir Marquetti, myself (with goaty
on the left side), Margaret Duncan, Josh Bivens and Carlos Bastos (Orozco Room)

The New School for Social Research was founded 100 years ago by a group of academics dissatisfied with the direction of American higher education. Economics was central to the early history of the New School, and my brief, very incomplete, and certainly idiosyncratic historical account emphasizes the Economics Department of what used to be called the Graduate Faculty.

Thorstein Veblen, one of the founders, had written his famous Higher Learning in America, which in a sense is the original critique of the corporate university. The idea was to put learning at the center, and avoid the conventional trappings of universities, with no degrees provided to students. The foundations of the critical perspectives provided at the New School came from institutionalists (like Veblen), pragmatists, represented by another prominent founder, namely John Dewey, and revisionism in history, with Charles Beard as its main voice at the new institution. Many came from Columbia University and were dissatisfied with both institutions of higher education and the direction the country had taken, in particular with World War I. These were mostly anti-war, progressive social scientists.

Perhaps the key person at the inception of the New School was Alvin Johnson, a somewhat difficult to classify economist (Gonçalo Fonseca at the HET website suggests that he might be seen as Austrian), that has been almost completely forgotten. Johnson was the editor of the massive Encyclopaedia of the Social Sciences, later substituted by the International Encyclopedia of the Social Sciences (last edition under Sandy Darity, and I have two entries on Export Promotion and James Mill), which put him in contact with several economists around the world, many in Germany.

A group of scholars that he met as the editor of the encyclopedia was the basis for the so-called University in Exile, which eventually was the basis for the Graduate Faculty, the division that now still is called the New School for Social Research (while the whole is just The New School, if I do understand the naming changes at my alma mater). The most important and cohesive group of economists that arrived at the New School in 1933, and the following years, escaping persecution in Nazi Germany, were the ones related to the Kiel School, including Gerhard Colm (on Colm I co-authored this paper with Luca Fiorito), Adolph Lowe, Jacob Marschak, and Hans Neisser. In that group, Lowe, the mentor to Robert Heilbroner, was to be the more consequential for the New School.

The New School was not orthodox in its economic teaching, but the 1930s were a period of flux in the profession. The Keynesian Revolution was in course, and Keynes was acquainted with Johnson and the New School, as it can be seen in the letter he gave to H. G. Bab (see below; click to amplify). In that sense, while it is true that the place was somewhat unorthodox, given its origins and the historical period in question, that should not be exaggerated. Note that Marschak went on to be the head of the Cowles Commission, and a leading mainstream economist. While at the New School he supervised Franco Modigliani's doctoral thesis, which was the basis for his famous neoclassical synthesis paper of an ISLM model with rigid wages and for his Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel.

The New School, more enjoyable and compatible people than at Columbia, for sure (click to enlarge)

I say this because there is a tendency to think of the New School as being always heterodox, and taking that term to have more or less a contemporary meaning (for what I mean about that go here; for a great and more in depth discussion see this post by Ingrid Kvangraven and Carolina Alves). Many others taught at the New School in this period, perhaps, worth mentioning is the case of Abba Lerner, the main author of the functional finance school (something that is at the core of Modern Money Theory, but is more restrictive and specific than MMT).

The Kiel School was what one could term eclectic. They certainly had roots on elements of the German Historical School, and readings of marginalist and non-marginalist authors, including Marxists. Gonçalo puts Tugan-Baranovsky as one of the influences on the Kiel School. Tugan, a "semi-critic of Marx" according to Schumpeter, argued that a disproportion between the investment and consumption goods sectors would lead to recurrent industrial crises, and that notion of structural imbalances was central for Kiel authors. Leontief was also connected to the Kiel School.

While many in the Kiel School were open to and used marginalist concepts, as in the case of institutionalists, not all were neoclassical, and Lowe's views arguably were the most clearly connected to the works of the old classical political economists. Ed Nell, in the appendix to Lowe's book The Path of Economic Growth compares it with Leontief, Von Neumann, and Sraffa, as being classically inspired. One can think of Ed's Transformational Growth research program as building on that tradition.

But it would be a stretch to suggest that Bob Heilbroner, Lowe's main disciple at the New School, and the next key person in the history of the Economics Department at the Graduate Faculty, was a follower of classical political economy. A cursory reading of his classic, The Worldly Philosophers, shows that his reading of Smith is perfectly compatible modern mainstream readings, which imply that Smith was a precursor of supply and demand theories. The chapter on Smith discusses the law of markets, but the labor theory of value only makes an appearance in the chapter on Marx, and to suggest that it was a deviation from Smith and Ricardo. The degree to which Heilbroner conflates classical and marginalist or neoclassical theory is clear in that he argues that the Walrasian circular-flow in Schumpeter's theory resembles Ricardo's stationary state. And in the discussion of Schumpeter's notion of profit he suggests, regarding the labor theory of value, that "everyone knew to be wrong and therefore did not have to be reckoned with."*

Further, his views on economic growth, as evidenced in his book on the economics history of the Unites States, were essentially that growth was supply-side constrained and dependent on technological innovation, in ways that seem to be closer to his Harvard undergraduate teacher, Joseph Schumpeter, than classical political economy authors (Smith had, arguably, a demand driven view of growth, at least for some, while Ricardo most certainly didn't, and Marx is open to many different views; I'll keep that to another post). I emphasize this to show that even if he was unorthodox in many ways, Bob was not necessarily what we would term heterodox in the modern sense of the word (even if taken loosely as not being neoclassical).** In my view, no clear heterodox bias existed up to the 1960s, in a department that had basically been under the shadow of three economists, Johnson, Lowe and Heilbroner. Note that this somewhat eclectic persistence of different approaches was more or less common in many departments at that time.

But the Johnson-Lowe-Heilbroner nexus provided the basis for the changes that shaped the department with the arrival of Ed Nell in the late 1960s. Ed had worked with Hicks at Oxford, and he was from early on critical of methodological individualism, something that is clear from his critique of the concept of the rational economic man. More importantly he was concerned with growth, and that led to a discussion of the theories of value and distribution (perhaps influenced by Hicks' Capital and Growth, which remains an important book), and was influenced by Sraffa's revival of classical political economy. It was after Ed arrived that a series of new hires, among them Stephen Hymer, Anwar Shaikh, and David Gordon, changed the department. Note that the late 1960s and early 1970s too is the period in which the economics profession segregates the heterodox groups, makes it harder for radicals to get tenure in conventional and prestigious departments (e.g. Sam Bowles at Harvard), and publishing requires the foundation of new journals (e.g Journal of Post Keynesian Economics, and the Cambridge Journal of Economics).

In my view, it is no coincidence that this is also when the change in the notion of equilibrium, as discussed by Garegnani, takes place (some discussion of that here). The point is that the capital debates had shown the limits of marginalist (neoclassical) economics, and the profession embraced what I have referred to as vulgar economics after that. The hiring of heterodox economists, critical of the mainstream in this period, and the sociology of academia, locked in heterodox hegemony at the Econ. Dept. of the Graduate Faculty.

Many other heterodox economists taught at the New School's Econ. Dept. from that point onwards. I might note Paul Sweezy, which if I'm not wrong was instrumental in making Bob Pollin choose the New School for his PhD, was among the teachers in the 1970s. And also many Sraffians like Piero Garegnani, John Eatwell, taught on a recurring basis, while many were visitors for shorter periods. Again, somewhat idiosyncratically, in my view it is the arrival of Lance Taylor in 1993 and a few years later of Duncan Foley that consolidated the persistence of the heterodoxy, and the type of heterodox department (with a mix of structural Keynesianism and Marxism), that the New School has today.

Perhaps, it is important to emphasize how limited this story is. There is a missing story about the role of David Gordon, who was also a key player in the department for many decades, and of Anwar Shaikh, that I always saw as somewhat of an influential outsider (maybe I'm wrong), even by the New School standards. And also the many other wonderful and creative heterodox economists that passed through the New School over the years. There is a question about the gender imbalances at the New School, and within heterodoxy itself, that I do not address. I'll explicitly avoid saying any additional names, since in this way I cannot be accused of forgetting someone (I'm leaving out a ton, including the many alumni that went on to remarkable careers). Hopefully this provides a window on how the New School became heterodox and why it remains so.

* It should be noted that Bob's book was published in 1953, a few years before the labor theory of value was rehabilitated by Sraffa's Production of Commodities.

** On a personal note, I remember talking to Bob on an interval of a conference organized by Ed Nell on functional finance, in 1997, I think, in which he argued that the Maastricht limits (3 per cent for deficits, and 60 per cent for debt) were reasonable measures to constrain the size of government. He was a liberal in an older sense of the word, perhaps.

Monday, January 8, 2018

On mainstream Keynesianism

Looking up to Galbraith

The ASSA Meeting was this last weekend in Philadelphia. It was the bomb... cyclone (Nate Cline's joke; I'm sure many others too came up with that one). I don't have much to report actually. I did participate in one section, and will post a link to a preliminary version of my paper soon. I was at the Economists for Peace and Security (EPS) dinner, that honored Jamie Galbraith. This blog was named Naked Keynesianism, as you may know, because years ago Fox News accused him of teaching naked Keynesianism, and I thought that was both funny and a reasonable name for the stuff I did.

Anwar Shaikh was at the dinner, and suggested that Jamie has one foot in each side of the heterodox/orthodox divide, as a result of his paternal influence (Richard Parker noted that as father/son duos come, the Galbraiths do much better than the Friedmans or Steins, and as well as the Gordons), and that for that reason at EPS (presided by Jamie for more than 20 years) we got accustomed to be less segregated from the rest of the profession. That seems about right.

And to prove Anwar right, Joseph Stiglitz was at hand to discuss Jamie's many achievements, and  the many battles, including the one on Greece's debt crisis, and that is far from over, that he fought with Jamie.* Yet, while on policy issues there have been many battles that reasonable, and progressive mainstream Keynesians have fought with heterodox economists (a topic discussed here before), there are important differences between heterodox Keynesians, and their mainstream counterparts. For example, check Stiglitz's new paper on the last issue of the Oxford Review of Economic Policy (OREP).

He acknowledges that: "the economy does not quickly return to full employment," and that "simple models have been constructed investigating how structural transformation can lead to a persistent high level of unemployment, and how, even then, standard Keynesian policies can restore full employment, but by contrast, increasing wage flexibility can increase unemployment." That is essentially correct, and I should add, that perhaps Stiglitz has gone further than most mainstream economists pushing the need for the limits of what he refers to as equilibrium models (mostly of the Monetarist and New Classical/RBC type). But essentially his critiques derive from information problems and limits to rationality, coming from behavioral economics insights.

I often think of Olivier Blanchard when I have to discuss the inability of reasonable mainstream Keynesians incapacity to break with old ways of thinking. Perhaps because of his role until recently at the IMF (now that role was taken over by Maurice Obstfeld). Blanchard tells us in his new paper in the same issue of OREP that: "current DSGE models are flawed, but they contain the right foundations and must be improved rather than discarded."

This is essentially the point of Blanchard's paper on the natural rate too. He essentially suggests that not only the natural rate hypothesis is theoretically reasonable, but that it is relevant for policy makers. Not surprisingly the IMF has not changed its views on macro policy that much (on that see my previous post and the several links to older stuff).

Of course Jamie long ago suggested that the the concept of the natural rate itself should be abandoned. And he did it in the Journal of Economic Perspectives, a journal that was supposed to showcase alternative views in pluralist fashion, but that has failed in being inclusive of heterodox traditions. The inability to ditch the natural rate, even in the face of the last financial crisis (and something that Keynes suggested in the GT) is the main persistent failure of the mainstream.

* Stiglitz acknowledged that Jamie has been studying inequality since before Piketty made it a fashionable topic.



Tuesday, December 19, 2017

Review of Shaikh's Capitalism

woof, woof

I haven't posted in a while. As I noted before, it's harder to post new things after almost 7 years. Also, I've been both busy and not particularly fond of talking about economics (a certain degree of pessimism about the economy and the profession, I guess). But not yet ready to shut the blog down.

Anwar Shaikh was here at Bucknell and gave a lecture on his new book (Capitalism). Here a review by Susan K. Schroder, who was my micro TA back in graduate school a little more than 20 years ago.

"It has long been recognized that the state of economic theory, particularly modern macroeconomics, is in disarray. With the release of Capitalism: Competition, Conflict and Crises, Anwar Shaikh attempts to place the discipline on a more secure footing. Without doubt, this is a very large and complex book. This review essay hopes to assist readers in unlocking its insights.

Anwar Shaikh has been a Professor of Economics at the New School for Social Research in New York for approximately 40 years. As a graduate student at Columbia University , he was stimulated by political and social unrest of the 1960s and 1970s, and began his exploration of alternative approaches to understanding how capitalism functions. He has been particularly intrigued by the surplus approach to theories of value and distribution, especially those that are grounded in some form of a labor theory of value. The New School’s history of providing space to explore alternative, progressive approaches to a variety of disciplines has provided Shaikh with a natural home, encouraged by leading historians of econo mic thought and method, such as the late Robert Heilbroner and Adolph Lowe. Capitalism is the culmination of his life’s work, his magnum opus."

Read rest here.

PS: Anwar uses the term classical-Keynesianism, that I like and that I took from Heinrich Bortis's book Institutions, Behaviour and Economic Theory. There might be some differences on what exactly one means by classical political economy and Keynesianism, but there is a similar preoccupation, which I think is among the most important points of both books.

Friday, October 6, 2017

Anwar Shaikh at Bucknell


Anwar will give a lecture at Bucknell next week (Thursday, October 12 at 4pm, in Academic West 112). Open to the public, and if you are in central PA you should NOT miss it up. Above a talk he gave last year at SOAS based on his recent book of the same title available here.

Monday, April 3, 2017

Who pays for the Welfare State?

The source of the graph is here. The data can be downloaded here. I think Anwar Shaikh had a paper with a title similar to this post. And the point is well illustrated in the graph. The working class itself pays for it.

Monday, October 6, 2014

Piketty debates Shaikh and Boushey at the New School

Piketty at the New School's Schwartz Center for Economic Policy Analysis (SCEPA). I personally don't agree with Anwar that Piketty is working in the critical tradition that includes Smith, Ricardo, Marx, Keynes and Kalecki (around minute 51). But worth watching in full.

Friday, February 28, 2014

Monday, January 20, 2014

Total Factor Productivity does NOT measure what you think it does

The conventional discussion of Total Factor Productivity (TFP) starts from a production function. For that reason most people when they hear about the problems with TFP, think that it refers to aggregation problems (which on top many confuse with the capital debates, which did involve a critique of the production function, but was about more than that). 

The problem is that TFP is NOT productivity at all. So start from a Cobb-Douglas production function (it doesn’t really matter what production function for our argument):
Log-linearizing and deriving with respect to time you obtain:
Where alpha is the share of wages in national income. Solow suggested that the residual (dA/A) must be the combined effect of the increase in productivity of all factors of production (TFP).

Now consider the income identity that by definition tells us that net income (net of taxes) is composed by the remuneration of capital and labor. We have:
There is no need here to be concerned with aggregation questions. This is an identity and the data reflects NOT a theoretical construct, like the production function, but a national accounting identity. 
The total derivative of the identity would be:
Diving by Y, and with some manipulation, knowing that r=R/K, we get:
Note that the first two terms can be re-written using the above notation for the shares of profits (R) and wages (wN) in total income. We have:
Note any similarity with the growth accounting equation? The Solow residual is basically a weighted average of the rate of growth of profits and wages. This is what is being measured, since the data actually comes from the identity, not an imaginary production function. Even if you had a production function, you still would be measuring the identity.

Jesus Felipe and John McCombie have done extensive work, building on the work of Franklin Fisher, Herbert Simon, Anwar Shaikh and others. The use of TFP, when the evident measure of productivity should be labor productivity, only leads to additional confusion in mainstream analysis of economic growth (the other big problem being the supply constraint and the notion of a natural rate).

PS: There are several papers that one should read on (subscrirequired), but I suggest the following one (subscription required) by Felipe and McCombie that shows the kind of confusion that using TFP leads to when applied to the interpretation of the East Asian growth experience.

Monday, October 8, 2012

Heteredox Central Bankers and Systemic Crisis

Anwar Shaikh's talk at the Central Bank of Argentina is now available at Revista Circus (h/t Alejandro Fiorito). Anwar's talk, as suggested before, looks at the current crisis from a long term perspective suggesting that this is the first of the 'depressions' of this century, a phenomenon that is recurrent in capitalist societies.

Wednesday, October 3, 2012

Heterodox Central Bankers

The annual conference of the Central Bank of Argentina was held this week. The theme was the role of the Central Bank in the process of development. Jamie Galbraith, the actual author of the draft of the Full Employment and Balanced Growth Act, also known as the Humphrey-Hawkins Act, which gives the Fed its triple mandate of full employment, growth, and reasonably stable prices, opened the conference after the talk by the president of the bank (the video of Jamie's talk is available here; h/t Revista Circus), Mercedes Marcó del Pont. Jamie warned against falling into the trap of assuming that the crisis has only one cause, and was very pessimistic about the possibilities of a more rapid and vibrant recovery in the developed world. Phil Arestis (presentation here) closed the conference, with more emphasis on regulation issues, and his assessment was equally pessimistic. If the policies of central banks, in particular the ECB, and the austerity measures in the developed world are not reversed soon a long period of stagnation might ensue, as Anwar Shaikh (shown above with Stuart Holland, Jamie, and the president of the central bank) reminded us.

Tuesday, August 14, 2012

Sraffa and Marxism or the Labor Theory of Value, what is it good for?

An old, but not completely closed, debate revolves around whether Sraffa was a Marxist or instead he should be seen as Ricardian, hence the term Neo-Ricardian used derisively by Bob Rowthorn (subscription required) and other Marxists authors (and also by Frank Hahn, again subscription required). From a personal point of view there is little doubt that Sraffa identified with Marxism, and close friends like Antonio Gramsci and Maurice Dobb would agree. But the important question is whether his contributions in Production of Commodities by Means of Commodities (PCMC) should be seen as a development or a criticism of Marx's theoretical tradition.

For the most part the question revolves around the relation between Sraffa's prices and the labor theory of value. Several authors tend to believe that the latter theory is central for Marx's theory of exploitation. Recent interpretations such as the so-called New Interpretation (NI) and the Temporal Single System (TSS) would agree on that point.

For example, Foley and Duménil (2008; subscription required) argue that:
"Central to Marx's framework of analysis in Capital is the labour theory of value (LTV), which defines the value of a commodity as the ‘socially necessary’ labour time required by its production, that is, the labour time required by average available techniques of production for workers of average skill. 
The LTV is central to Marx's theory of exploitation, a term he uses to describe a situation in which one individual or group lives on the product of the labour of others."
On the similar claims by the TSS Marxism see Mongiovi (2002; subscription required). [Vienneau provides a list of readings on the TSS topic here.]

The question then is what was the role of the labor theory of value in Marx and the classical authors, i.e. for the surplus approach. The initial problem that Smith was trying to deal with the LTV was to determine the rate of profits independently of prices, since profits were considered essential for capital accumulation. Note that one needs the prices to determine profits, in particular the price of the means of production advanced for production, but one needs the rate of profit (the normal uniform rate of profit) to determine long term normal (or production) prices.

Smith (1776, book I, chapter 6) makes the value of commodities depend on the quantity of labor required to produce them is where there has been no accumulation of capital or land. In his words:
"In that early and rude state of society which precedes both the accumulation of stock and the appropriation of land, the proportion between the quantities of labour necessary for acquiring different objects seems to be the only circumstance which can afford any rule for exchanging them for one another."
But when profit and rent make their appearance alongside the worker's income, the rule is no longer applicable. The price of a commodity is then obtained by 'adding up' its component parts, namely: wage, profit and rent. The adding up theory implied that profits and wages had an independent determination. Hence, if profits went up, and prices too, real wages might not decrease. As a result, one cannot determine profits independently of prices.

Ricardo saw the limitations of the adding up theory. In his early writings he solved the problem by presuming that the economy produced corn (grain) with corn and labor, and the surplus was a physical amount of corn, so the rate of profit could be measured as ratio of corn (the surplus) to corn (the means of production advanced for production). He, then used, the labor theory of value as an approximation to the solution in his Principles, knowing that prices were not exactly proportional to the amounts of labor directly and indirectly used in production.

That was, also, essentially the role of the LTV in Marx's volume I of his masterpiece Capital. That is, the LTV allows Marx to determine the rate of profit independently of prices. Note that Marx was also aware that relative prices determined by the amounts of labor directly and indirectly incorporated are incorrect once you have produced means of production. However, Marx thought that embodied labor redistributed by the process of competition meant that in the aggregate total surplus value  corresponded to total profits, even if prices of production deviated from embodied labor. As a result, on the basis of the LTV it was still possible to obtain the correct rate of profit. As it turns out, there is no reason for positive and negative deviations of prices of production from the labor values to cancel out. You cannot argue with the algebra.

Marx had no way of knowing this. Only with Bortkiewicz, Dimitriev and Tugan-Baranovsky's work, early in the 20th century, this was clearly understood. If in general commodities do not exchange at labor values, then there is no reason why that should be correct for two composite commodities that make the total physical surplus and the physical advanced means of production.

Sraffa's solution, based on the standard commodity (to be discussed in another post), shares with Ricardo's corn model the idea that one can measure the rate of profit as a share of a particular commodity (Sraffa's being a composite commodity, that is, composed of several goods). It also shares with Ricardo the fact that only basics (commodities that enter the production of all goods including their own production), which for simplicity can be related to subsistence goods, affect the rate of profit, while non-basics, or luxury goods, are not relevant. Further, as noted by Sraffa too, his solution resembles Smith's since the standard commodity can be seen as akin to the former's idea of labor commanded, that is relative prices are proportional to the amount of labor that they can command (buy). In that sense, Sraffa's prices are firmly based on a certain notion of the labor theory of value.

Mind you, in the central issues Marx's theory was correct. Once you determined exogenously the real wage, and the technical coefficients of production are given, one can determine the rate of profit, and it is inversely related, everything else constant, with the real wage. Hence, the theory of distribution based on class conflict which is the central element of the surplus approach, including Marx, is logically consistent [which is more that can be said about marginalism, as showed by the capital debates].

But does the Sraffian system mean that exploitation as interpreted by Marx is not valid anymore, since, as noted above, some Marxist authors think that the LTV (narrowly interpreted as prices of production proportional to embodied labor) is essential for that part of the Marxian project? Petri (2012)* has published an excellent review of the limitations of the NI and TSS. He clearly states (p. 3) that:
"The proof that labour is exploited, in particular, does not lie in the validity of a quantitative correspondence of surplus exchange value with surplus labour time; this is a misconception that derives from a mistaken acceptance of the argument that the inability to prove such a correspondence might mean that the capitalists contribute to production, that profits reflect their contribution, and that this is the reason why commodities do not exchange in proportion to labours embodied – the argument of the ‘vulgar’ economists and then of the marginalist critics of Marx" (emphasis added).
Why is that the case that there is no correspondence between the LTV and whether labor is exploited or not? Note that for Marxists this is a necessary condition because workers work more time than what is needed for their reproduction, and that is the supposed basis for exploitation. It is worth quoting Petri at length here:
"Imagine an isolated market economy where production is carried out by self-employed artisans and cooperatives, and the rate of profit is zero: prices of production are proportional to labours embodied. One day Gengis Khan’s army invades this community, but instead of killing everybody Gengis Khan announces that he will be content with collecting a yearly monetary tax at a rate r=20% on the value of the capital employed in each productive activity, a tax he will then use to buy goods on the market. The community is obliged to accept, and prices of production come to include a 20% tax on the value of capital which has the same effect on relative prices, and on real wages, as a 20% rate of profit. Relative prices are no longer proportional to labours embodied, Marx’s r=S/(C+V) does not work, but production is still performed by the same labourers, and the goods appropriated each year by Gengis Khan with the income deriving from the tax do not reflect any productive contribution of the oppressors. One would have little hesitation, it would seem, to say that Gengis Khan is exploiting this community. But if Gengis Khan had imposed the tax as a given percentage of wages, with the rate of profit remaining zero, then relative prices would have remained proportional to labours embodied, but exploitation would be still there. On the other hand, imagine that the 20% tax rate on the value of capital is imposed not by Gengis Khan but by unanimous popular vote because it is decided to use it to help for some years another community struck by an earthquake: in this case the surplus product would again be associated with an impossibility to explain prices with the labour theory of value, but few would call the surplus product the fruit of labour exploitation. All this shows that the proportionality or non-proportionality between exchange values and labours embodied reflects, not the absence or presence of other productive contributions besides that of labour, but only the specific way the mode of appropriation of the surplus product affects relative prices; the origin of the surplus remains to be ascertained" (emphasis added).
Hence, as the simple example shows one might have exploitation without the LTV, and no exploitation with the LTV, which should be a black swan for those that think that Marxism stands or falls with the narrow definition of the LTV. For our purposes what matters is that the correct solution of the problem of the determination of the rate of profit independently of prices, provided by Sraffa, actually strengthens and is a development of the theories of Marx and the other authors of the surplus approach. Sraffa is the author that makes Marx's conclusions possible.**

Notes:

* Petri provides a critique of NI and TSS solutions of the transformation problem too. A different solution, that is more Ricardian in assuming that embodied labor provides a good empirical approximation to production prices, is provided by Shaikh (1977).
** Interestingly Petri quotes several passages in which Foley tends to suggest that Marxism and marginalism are not necessarily incompatible.

References:

Foley, Duncan and Gérard Duménil (2008). "Marxian transformation problem." The New Palgrave Dictionary of Economics. Second Edition. Steven N. Durlauf and Lawrence E. Blume. (eds.), The New Palgrave Dictionary of Economics. Palgrave Macmillan.

Mongiovi, Gary (2002). "Vulgar Economy in Marxian Garb: A Critique of Temporal Single-System Marxism," Review of Radical Political Economics, 34(4), pp. 393-416.

Petri, Fabio (2012). "On Recent Reformulations of the Labour Theory of Value," Quaderni del Dipartamento di Economia Politica e Statistica, Università degli Studi di Siena, No. 643.

Shaikh, Anwar (1977). "Marx's Theory of Value and the Transformation Problem,"in Jesse Schwartz (ed.), The Subtle Anatomy of Capitalism. Goodyear Publ. Co.